Quotient sheaves of algebraic supergroups are superschemes

Details Quotient sheaves of algebraic supergroups are superschemes Quotient sheaves of algebraic supergroups are superschemes

2010-07-14

arxiv.org/abs/1007.2236v3

Mathematics

Representation Theory

Revised the manuscript, improving the exposition and correcting typos, 40 pages; the final version accepted for publication

Scientific paper

To generalize some fundamental results on group schemes to the super context, we study the quotient sheaf $G \tilde{/} H$ of an algebraic supergroup $G$ by its closed supersubgroup $H$, in arbitrary characteristic $\neq$ 2. Our main theorem states that $G \tilde{/} H$ is a Noetherian superscheme. This together with derived results give positive answers to interesting questions posed by J. Brundan.

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